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Finding the Fourth Proportional to 41.47, 62.17 and 21.14

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Solution

The fourth proportional to 41.47, 62.17 and 21.14 is: 31.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.47 : 62.17 = 21.14 : x
  2. Step 2: Convert to fraction form
    41.47/62.17 = 21.14/x
  3. Step 3: Cross multiply
    41.47x = 62.17 × 21.14
  4. Step 4: Simplify right side
    41.47x = 1,314.22
  5. Step 5: Solve for x
    x = 1,314.22/41.47
  6. Step 6: Final answer
    x = 31.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.